7- For a function f(x, y), suppose that fzz = x² and D(x, y) = fzzfyv – fzy %3D x*y? – 2. Which is true for the points P(1,1) and Q(1, 2) where P and Q are critical points of f. a) None of the above b) P is a local min and Q is a local max. P is a local max and Q is a local min. d) P is a saddle point and Q is a local max. P is a saddle point and 0 is a local min.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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7-
For a function f(x, y), suppose that fzz = x² and D(x, y) = frzfyy – fay
a*y? – 2. Which is true for the points P(1,1) and Q(1,2) where P and Q are critical
points of f.
a)
None of the above
b) O P is a local min and Q is a local max.
P is a local max and Q is a local min.
d)
P is a saddle point and Q is a local max.
e)
P is a saddle point and Q is a local min.
Transcribed Image Text:7- For a function f(x, y), suppose that fzz = x² and D(x, y) = frzfyy – fay a*y? – 2. Which is true for the points P(1,1) and Q(1,2) where P and Q are critical points of f. a) None of the above b) O P is a local min and Q is a local max. P is a local max and Q is a local min. d) P is a saddle point and Q is a local max. e) P is a saddle point and Q is a local min.
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